1 / 1

The Locker Problem: Which Lockers Remain Open?

In this intriguing problem, 200 lockers are initially closed, and 200 students sequentially open and close them based on their position in line. Each student toggles the state (open/close) of specific lockers according to their number, leading to a final arrangement after all students have participated. The challenge is to determine which lockers remain open at the end of the process. This problem provides an engaging way to explore concepts of factors and the properties of numbers.

said
Download Presentation

The Locker Problem: Which Lockers Remain Open?

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. August 9, 2011The Locker Problem If you are not finished with your Diagnostic test you need to finish this today. If you are finished, work quietly on the following problem. There are 200 lockers that are numbered from 1 to 200. There are 200 students lined up in front of locker #1. The first person in line goes through and opens each locker. The second person in line goes through and closes every second locker. The third person in line goes through and changes the position of every third locker. The 100th person in line will change the position of the 100th and 200th locker, etc. The question is this, which lockers will still be open after all 200 people have gone through the line? Write your answer and justify.

More Related